3月13号周练——2015 Multi-University Training Contest 9

2015 Multi-University Training Contest 9

A. Expression（理解原理 区间DP）

#include<stdio.h>
#include<string.h>
#include<algorithm>
#include<iostream>
#include<vector>
#include<queue>
#include<cmath>
#define maxn 105
#define mod 1000000007
using namespace std;
long long dp[maxn][maxn];
long long A[maxn],C[maxn][maxn];
char operations[maxn];
int a[maxn],n;
/*初始化从0到maxn的阶乘模mod*/
void init()
{
int i,j;
A[0] = 1;
for(i = 1;i < maxn; i++)
{
A[i] = (A[i-1]*i)%mod;
}
C[0][0] = 1;
for(i=1; i<=100; i++)
{
C[i][0] = 1;
for(j=1; j<=i; j++)
C[i][j] = (C[i-1][j-1] + C[i-1][j])%mod;
}
}
void solve()
{
int len,l,r,k;
for(l = 1;l <= n;l ++)
dp[l][l] = a[l];
for(len = 2;len <= n;len ++)
{
for(l = 1;l + len - 1 <= n; l ++)
{
long long t;
r = l + len -1;
for(k = l;k < r;k ++)
{
if(operations[k] == '+'){
t = (dp[l][k]*A[r-k-1] + dp[k+1][r]*A[k-l])%mod;
}
else if(operations[k] == '-'){
t = (dp[l][k]*A[r-k-1] - dp[k+1][r]*A[k-l])%mod;
}
else{
t = (dp[l][k]* dp[k+1][r])%mod;
}
dp[l][r] = (dp[l][r] + t* C[r-l-1][k-l])%mod;
}
}
}
}
int main()
{
init();
while(cin >> n)
{
memset(dp, 0, sizeof(dp));
int i,j;
for(i = 1;i <= n;i ++){
cin >> a[i];
}
for(i = 1;i < n;i ++){
cin >> operations[i];
}
solve();
cout << (dp[1]
+mod)%mod << endl;              //此段代码借鉴的，为什么？
}
return 0;
}

Travelling Salesman Problem

#include <iostream>
#include<cstdio>
#define maxn 105
#define black 1
#define white 0
using namespace std;
int n,m;
long long sum,min;
int map[maxn][maxn],color[maxn][maxn];    //color[][] = 0/1，1代表白色，0代表黑色
void init()
{
int i ,j;
bool tmp = true;
for(i = 1;i <= n;i ++)
{
for(j = 1;j <= m;j ++)
{
if(tmp)
color[i][j] = black;
else
color[i][j] = white;
tmp = !tmp;
}
}
}
int main()
{
while(scanf("%d %d",&n,&m)!=EOF)
{
init();
sum = 0;
int i,j;
for(i = 1;i <= n;i ++)
{
for(j = 1;j <= m;j ++)
{
scanf("%d",&map[i][j]);
sum += map[i][j];
}
}
/*行数n为奇数*/
if(n%2!=0)
{
printf("%lld\n",sum);
for(i = 1;i <= n;i ++)
{
if(i%2 != 0)
{
for(j = 1;i < m;i ++)
printf("R");
}
else
{
printf("D");
for(j= 1;j < m;j ++)
printf("L");
}
}
}
/*行数为偶数，但列数为奇数*/
else if(m%2 !=  0)
{
printf("%lld\n",sum);
for(i = 1;i <= m;i ++)
{
if(i%2 != 0)
{
for(j = 1;i < n;i ++)
printf("D");
}
else
{
printf("L");
for(j= 1;j < n;j ++)
printf("U");
}
}
}
/*行列都为偶数*/
else
{

}
}
return 0;
}